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Jobisdone [24]
3 years ago
12

Simplify the following expression. -i^6 · i^3 · i^-5

Mathematics
2 answers:
marysya [2.9K]3 years ago
6 0
-i^(6) × i^(3) × i^(-5)
-i^(2)i^(3)i^(-5)
1 × i^(3)i^(-5)
1 × i^(2)ii^(-5)
1 × -1 × ii^(-5)
-1 × 1 × ii^(-1)
-ii^(-1)
-1

The answer is: -1.
sergey [27]3 years ago
5 0

Answer:

first option for conexus peoples

Step-by-step explanation:

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Answer:

10 hours

Step-by-step explanation:

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5 0
3 years ago
There are 16 colored pencils and 8 colored pencils will fit in a box. How many boxes will the 16 pencils fill?
Gekata [30.6K]

Given:

Total number of colored pencils = 16

Colored pencils fit in a box = 8

To find:

The number of boxed that will fit the 16 pencils.

Solution:

According to the question 8 colored pencils will fit in a box. So, we have

8 pencils = 1 box

Multiply both sides by 2.

2×8 pencils = 2×1 box

16 pencils = 2 box

Therefore, 2 boxes are required to fit the 16 colored pencils.

4 0
3 years ago
The length of a rectangle is 8 more than the width. The perimeter of the rectangle is 56 inches. Write and solve a system of lin
labwork [276]
I assume that the length of the rectangle is 8 inch more than width .

4 0
3 years ago
Read 2 more answers
Find the surface area of the triangular prism
lesya692 [45]

The surface area of the triangular prism is 1664 square inches.

Explanation:

Given that the triangular prism has a length of 20 inches and has a triangular face with a base of 24 inches and a height of 16 inches.

The other two sides of the triangle are 20 inches each.

We need to determine the surface area of the triangular prism.

The surface area of the triangular prism can be determined using the formula,

SA= bh+pl

where b is the base, h is the height, p is the perimeter and l is the length

From the given the measurements of b, h, p and l are given by

b=24 , h= 16 , l=20 and

p=20+20+24=64

Hence, substituting these values in the above formula, we get,

SA= (24\times16)+(64\times20)

Simplifying the terms, we get,

SA=384+1280

Adding the terms, we have,

SA=1664 \ square \ inches

Thus, the surface area of the triangular prism is 1664 square inches.

6 0
3 years ago
Select ALL the correct answers.<br> Select all functions that have a y-intercept of (0,5).
otez555 [7]
1.) f(x)=7(b)^x-2
x=0→f(0)=7(b)^0-2=7(1)-2=7-2→f(0)=5→(x,f(x))=(0,5) Ok

2.) f(x)=-3(b)^x-5
x=0→f(0)=-3(b)^0-5=-3(1)-5=-3-5→f(0)=-8→(x,f(x))=(0,-8) No

3.) f(x)=5(b)^x-1
x=0→f(0)=5(b)^0-1=5(1)-1=5-1→f(0)=4→(x,f(x))=(0,4) No

4.) f(x)=-5(b)^x+10
x=0→f(0)=-5(b)^0+10=-5(1)+10=-5+10→f(0)=5→(x,f(x))=(0,5) Ok

5.) f(x)=2(b)^x+5
x=0→f(0)=2(b)^0+5=2(1)+5=2+5→f(0)=7→(x,f(x))=(0,7) No

Answers:
First option: f(x)=7(b)^x-2
Fourth option: f(x)=-5(b)^x+10 
7 0
3 years ago
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